51744 has 72 divisors (see below), whose sum is σ = 172368. Its totient is φ = 13440.

The previous prime is 51721. The next prime is 51749. The reversal of 51744 is 44715.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 51744.

It is not an unprimeable number, because it can be changed into a prime (51749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4699 + ... + 4709.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

2⁵¹⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

51744 is an abundant number, since it is smaller than the sum of its proper divisors (120624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51744 is a wasteful number, since it uses less digits than its factorization.

51744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 51744 is about 227.4730753298. The cubic root of 51744 is about 37.2637593120.

It can be divided in two parts, 517 and 44, that added together give a triangular number (561 = T₃₃).

The spelling of 51744 in words is "fifty-one thousand, seven hundred forty-four".